solve: 4(x-2)-1=3x-7?

4 (x-2)-1= 3x-7
4x-8-1= 3x-7
4x-9= 3x-7
4x-2=3x
-2=-1x
2=x

2007-03-21 11:18:31 · answer #1 · answered by Nic-Nic 2 · 1⤊ 0⤋

x=2

2007-03-21 11:18:00 · answer #2 · answered by Anonymous · 1⤊ 0⤋

Simplifying
4(x + -2) + -1 = 3x + -7

Reorder the terms:
4(-2 + x) + -1 = 3x + -7
(-2 * 4 + x * 4) + -1 = 3x + -7
(-8 + 4x) + -1 = 3x + -7

Reorder the terms:
-8 + -1 + 4x = 3x + -7

Combine like terms: -8 + -1 = -9
-9 + 4x = 3x + -7

Reorder the terms:
-9 + 4x = -7 + 3x

Solving
-9 + 4x = -7 + 3x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-3x' to each side of the equation.
-9 + 4x + -3x = -7 + 3x + -3x

Combine like terms: 4x + -3x = 1x
-9 + 1x = -7 + 3x + -3x

Combine like terms: 3x + -3x = 0
-9 + 1x = -7 + 0
-9 + 1x = -7

Add '9' to each side of the equation.
-9 + 9 + 1x = -7 + 9

Combine like terms: -9 + 9 = 0
0 + 1x = -7 + 9
1x = -7 + 9

Combine like terms: -7 + 9 = 2
1x = 2

Divide each side by '1'.
x = 2

Simplifying
x = 2

2007-03-21 11:43:48 · answer #3 · answered by Flying Ninja 3 · 0⤊ 0⤋

Okay, first we must deal with the parenthesis:
4(x-2) = 4x-(4*2) = 4x-8. So,
4x-8 -1=3x-7. Now, we combine like terms:
4x-9=3x-7. Then, we put the x's on one side and the non-x's on the other side:
4x-3x=-7+9 (we subtracted 3x from both sides and added 9)
Again, combine like terms:
x=2
Check your work:
4(2-2)-1=3(2)-7
4(0)-1=6-7
0-1=-1
-1=-1 (checked)

2007-03-21 11:22:09 · answer #4 · answered by Dave B. 4 · 0⤊ 0⤋

4x - 8 -1 = 3x - 7
4x - 9 = 3x - 7
Move the 3x to the left side and move the 9 to the right side.
x - 2

2007-03-21 11:27:08 · answer #5 · answered by rac 7 · 0⤊ 0⤋

x=2.
Use algebra to solve this equation.

4(x-2)-1=3x-7
4(x-2)=3x-6
4(x-2)-3x=-6
4x-8-3x=-6
x-8=-6
x=2

Try to get x by itself on on side, and a value for x on the other side. Just remember: What you do to one side of an equation, you must do to the other. So if you subtract 2 from one side to cancel out the 2 there, then subtract 2 from the other side. It was simple and easy for me, but you might want to practice for a while to get the hang of it.
Good luck with your math!

2007-03-21 11:24:00 · answer #6 · answered by Daniel Y 2 · 0⤊ 0⤋

Rewriting the equation you have :
4x-8 (-1)= 3x-7
4X-9= 3x-7
4x-3x=9-7
x=2

2007-03-21 11:21:41 · answer #7 · answered by WC 7 · 0⤊ 0⤋

(1) 4(x-2)-1=3x-7 ORIGINAL PROBLEM
(2) 4x-8-1=3x-7 DISTRIBUTE 4
(3) 4x-9=3x-7 SIMPLIFY (SUBTRACT -8 FROM -1)
(4) 4x-3x-9=-7 MOVE 3X OVER (BECOMES NEGATIVE)
(5) x-9=-7 SUBTRACT 3X FROM 4X
(6) x=9-7 MOVE -9 WHICH BECOMES POSITIVE
(7) x=2 SUBTRACT 7 FROM 9, ALSO IS ANSWER

2007-03-21 11:20:01 · answer #8 · answered by Myra G 5 · 1⤊ 0⤋

4x -8 -1 = 3x - 7
x = 2

2007-03-21 11:17:41 · answer #9 · answered by kittycat 3 · 1⤊ 0⤋

4(x-2)-1=3x-7
well
first u got to make a solutation table look it up on google that all u need to know

2007-03-21 11:17:49 · answer #10 · answered by wilycoyote5844 1 · 0⤊ 1⤋

solve: 4(x-2)-1=3x-7?

17 answers